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Provide tags and a correct Python 3 solution for this coding contest problem. Greg has an array a = a1, a2, ..., an and m operations. Each operation looks as: li, ri, di, (1 ≤ li ≤ ri ≤ n). To apply operation i to the array means to increase all array elements with numbers li, li + 1, ..., ri by value di. Greg wrote down k queries on a piece of paper. Each query has the following form: xi, yi, (1 ≤ xi ≤ yi ≤ m). That means that one should apply operations with numbers xi, xi + 1, ..., yi to the array. Now Greg is wondering, what the array a will be after all the queries are executed. Help Greg. Input The first line contains integers n, m, k (1 ≤ n, m, k ≤ 105). The second line contains n integers: a1, a2, ..., an (0 ≤ ai ≤ 105) — the initial array. Next m lines contain operations, the operation number i is written as three integers: li, ri, di, (1 ≤ li ≤ ri ≤ n), (0 ≤ di ≤ 105). Next k lines contain the queries, the query number i is written as two integers: xi, yi, (1 ≤ xi ≤ yi ≤ m). The numbers in the lines are separated by single spaces. Output On a single line print n integers a1, a2, ..., an — the array after executing all the queries. Separate the printed numbers by spaces. Please, do not use the %lld specifier to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams of the %I64d specifier. Examples Input 3 3 3 1 2 3 1 2 1 1 3 2 2 3 4 1 2 1 3 2 3 Output 9 18 17 Input 1 1 1 1 1 1 1 1 1 Output 2 Input 4 3 6 1 2 3 4 1 2 1 2 3 2 3 4 4 1 2 1 3 2 3 1 2 1 3 2 3 Output 5 18 31 20
instruction
0
17,095
12
34,190
Tags: data structures, implementation Correct Solution: ``` import sys input = sys.stdin.readline sys.setrecursionlimit(10**6) ############ ---- Input Functions ---- ############ def in_int(): return (int(input())) def in_list(): return (list(map(int, input().split()))) def in_str(): s = input() return (list(s[:len(s) - 1])) def in_ints(): return (map(int, input().split())) n, m, k = in_ints() a = [0] + in_list() mm = [[0,0,0,0]] for xx in range(m): l,r , d = in_ints() mm.append([l,r,d,0]) for kk in range(k): x, y = in_ints() mm[x][3] +=1 if y < m: mm[y+1][3]-=1 count = [0]*(n+1) for i in range(1, m+1): mm[i][3] += mm[i-1][3] l = mm[i][0] r = mm[i][1] vv = mm[i][2]*mm[i][3] count[l] +=vv if r < n: count[r+1] -= vv # print(mm) # print(count) for i in range(1, n+1): count[i]+=count[i-1] print(a[i] + count[i],end = ' ') ```
output
1
17,095
12
34,191
Provide tags and a correct Python 3 solution for this coding contest problem. Greg has an array a = a1, a2, ..., an and m operations. Each operation looks as: li, ri, di, (1 ≤ li ≤ ri ≤ n). To apply operation i to the array means to increase all array elements with numbers li, li + 1, ..., ri by value di. Greg wrote down k queries on a piece of paper. Each query has the following form: xi, yi, (1 ≤ xi ≤ yi ≤ m). That means that one should apply operations with numbers xi, xi + 1, ..., yi to the array. Now Greg is wondering, what the array a will be after all the queries are executed. Help Greg. Input The first line contains integers n, m, k (1 ≤ n, m, k ≤ 105). The second line contains n integers: a1, a2, ..., an (0 ≤ ai ≤ 105) — the initial array. Next m lines contain operations, the operation number i is written as three integers: li, ri, di, (1 ≤ li ≤ ri ≤ n), (0 ≤ di ≤ 105). Next k lines contain the queries, the query number i is written as two integers: xi, yi, (1 ≤ xi ≤ yi ≤ m). The numbers in the lines are separated by single spaces. Output On a single line print n integers a1, a2, ..., an — the array after executing all the queries. Separate the printed numbers by spaces. Please, do not use the %lld specifier to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams of the %I64d specifier. Examples Input 3 3 3 1 2 3 1 2 1 1 3 2 2 3 4 1 2 1 3 2 3 Output 9 18 17 Input 1 1 1 1 1 1 1 1 1 Output 2 Input 4 3 6 1 2 3 4 1 2 1 2 3 2 3 4 4 1 2 1 3 2 3 1 2 1 3 2 3 Output 5 18 31 20
instruction
0
17,096
12
34,192
Tags: data structures, implementation Correct Solution: ``` import sys n, m, k = [int(x) for x in sys.stdin.readline().strip().split(" ")] arr = [int(x) for x in sys.stdin.readline().strip().split(" ")] delta = [] delta.append(arr[0]) for i in range(1, n): delta.append(arr[i] - arr[i - 1]) ops = [] for i in range(m): l, r, d = [int(x) for x in sys.stdin.readline().strip().split(" ")] op = (l, r, d) ops.append(op) num_calls = [0] * m for i in range(k): x, y = [int(x) for x in sys.stdin.readline().strip().split(" ")] num_calls[x - 1] += 1 if y < len(num_calls): num_calls[y] -= 1 calls = 0 for o in range(m): calls += num_calls[o] op = ops[o] l = op[0] r = op[1] d = op[2] c = calls * d delta[l - 1] += c if r < len(delta): delta[r] -= c o += 1 arr[0] = delta[0] for i in range(1, n): arr[i] = delta[i] + arr[i - 1] print(' '.join(str(x) for x in arr)) ```
output
1
17,096
12
34,193
Provide tags and a correct Python 3 solution for this coding contest problem. Greg has an array a = a1, a2, ..., an and m operations. Each operation looks as: li, ri, di, (1 ≤ li ≤ ri ≤ n). To apply operation i to the array means to increase all array elements with numbers li, li + 1, ..., ri by value di. Greg wrote down k queries on a piece of paper. Each query has the following form: xi, yi, (1 ≤ xi ≤ yi ≤ m). That means that one should apply operations with numbers xi, xi + 1, ..., yi to the array. Now Greg is wondering, what the array a will be after all the queries are executed. Help Greg. Input The first line contains integers n, m, k (1 ≤ n, m, k ≤ 105). The second line contains n integers: a1, a2, ..., an (0 ≤ ai ≤ 105) — the initial array. Next m lines contain operations, the operation number i is written as three integers: li, ri, di, (1 ≤ li ≤ ri ≤ n), (0 ≤ di ≤ 105). Next k lines contain the queries, the query number i is written as two integers: xi, yi, (1 ≤ xi ≤ yi ≤ m). The numbers in the lines are separated by single spaces. Output On a single line print n integers a1, a2, ..., an — the array after executing all the queries. Separate the printed numbers by spaces. Please, do not use the %lld specifier to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams of the %I64d specifier. Examples Input 3 3 3 1 2 3 1 2 1 1 3 2 2 3 4 1 2 1 3 2 3 Output 9 18 17 Input 1 1 1 1 1 1 1 1 1 Output 2 Input 4 3 6 1 2 3 4 1 2 1 2 3 2 3 4 4 1 2 1 3 2 3 1 2 1 3 2 3 Output 5 18 31 20
instruction
0
17,097
12
34,194
Tags: data structures, implementation Correct Solution: ``` import sys n,m,k=map(int,sys.stdin.readline().split()) a=list(map(int,sys.stdin.readline().split())) s=sum(a) m1=[] for i in range(m): g=list(map(int,sys.stdin.readline().split())) m1.append(g) k1=[] for i in range(k): g=list(map(int,sys.stdin.readline().split())) k1.append(g) cnt=[0]*(m+1) for i in range(k): cnt[k1[i][0]-1]+=1 cnt[k1[i][1]]+=-1 s=0 for i in range(m+1): s+=cnt[i] cnt[i]=s cnt1=[0]*(n+1) for i in range(m): cnt1[m1[i][0]-1]+=cnt[i]*m1[i][2] cnt1[m1[i][1]]+=-cnt[i]*m1[i][2] s=0 for i in range(n): s+=cnt1[i] a[i]+=s print(a[i],end=" ") ```
output
1
17,097
12
34,195
Provide tags and a correct Python 3 solution for this coding contest problem. Greg has an array a = a1, a2, ..., an and m operations. Each operation looks as: li, ri, di, (1 ≤ li ≤ ri ≤ n). To apply operation i to the array means to increase all array elements with numbers li, li + 1, ..., ri by value di. Greg wrote down k queries on a piece of paper. Each query has the following form: xi, yi, (1 ≤ xi ≤ yi ≤ m). That means that one should apply operations with numbers xi, xi + 1, ..., yi to the array. Now Greg is wondering, what the array a will be after all the queries are executed. Help Greg. Input The first line contains integers n, m, k (1 ≤ n, m, k ≤ 105). The second line contains n integers: a1, a2, ..., an (0 ≤ ai ≤ 105) — the initial array. Next m lines contain operations, the operation number i is written as three integers: li, ri, di, (1 ≤ li ≤ ri ≤ n), (0 ≤ di ≤ 105). Next k lines contain the queries, the query number i is written as two integers: xi, yi, (1 ≤ xi ≤ yi ≤ m). The numbers in the lines are separated by single spaces. Output On a single line print n integers a1, a2, ..., an — the array after executing all the queries. Separate the printed numbers by spaces. Please, do not use the %lld specifier to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams of the %I64d specifier. Examples Input 3 3 3 1 2 3 1 2 1 1 3 2 2 3 4 1 2 1 3 2 3 Output 9 18 17 Input 1 1 1 1 1 1 1 1 1 Output 2 Input 4 3 6 1 2 3 4 1 2 1 2 3 2 3 4 4 1 2 1 3 2 3 1 2 1 3 2 3 Output 5 18 31 20
instruction
0
17,098
12
34,196
Tags: data structures, implementation Correct Solution: ``` from sys import stdin,stdout nmbr=lambda:int(stdin.readline()) lst = lambda: list(map(int,stdin.readline().split())) for _ in range(1):#nmbr(): n,m,q=lst() a=lst() queries=[lst() for _ in range(m)] mp=[0]*(2+m) for i in range(q): l,r=lst() mp[l]+=1 mp[r+1]-=1 for i in range(1,m+1): mp[i]+=mp[i-1] # print(mp) for i in range(1,m+1): queries[i-1][2]*=mp[i] # print(queries) dp=[0]*(n+2) for l,r,cost in queries: dp[l]+=cost dp[r+1]-=cost for i in range(1,n+1): dp[i]+=dp[i-1] for i in range(n): stdout.write(str(dp[i+1]+a[i])+' ') ```
output
1
17,098
12
34,197
Provide tags and a correct Python 3 solution for this coding contest problem. Greg has an array a = a1, a2, ..., an and m operations. Each operation looks as: li, ri, di, (1 ≤ li ≤ ri ≤ n). To apply operation i to the array means to increase all array elements with numbers li, li + 1, ..., ri by value di. Greg wrote down k queries on a piece of paper. Each query has the following form: xi, yi, (1 ≤ xi ≤ yi ≤ m). That means that one should apply operations with numbers xi, xi + 1, ..., yi to the array. Now Greg is wondering, what the array a will be after all the queries are executed. Help Greg. Input The first line contains integers n, m, k (1 ≤ n, m, k ≤ 105). The second line contains n integers: a1, a2, ..., an (0 ≤ ai ≤ 105) — the initial array. Next m lines contain operations, the operation number i is written as three integers: li, ri, di, (1 ≤ li ≤ ri ≤ n), (0 ≤ di ≤ 105). Next k lines contain the queries, the query number i is written as two integers: xi, yi, (1 ≤ xi ≤ yi ≤ m). The numbers in the lines are separated by single spaces. Output On a single line print n integers a1, a2, ..., an — the array after executing all the queries. Separate the printed numbers by spaces. Please, do not use the %lld specifier to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams of the %I64d specifier. Examples Input 3 3 3 1 2 3 1 2 1 1 3 2 2 3 4 1 2 1 3 2 3 Output 9 18 17 Input 1 1 1 1 1 1 1 1 1 Output 2 Input 4 3 6 1 2 3 4 1 2 1 2 3 2 3 4 4 1 2 1 3 2 3 1 2 1 3 2 3 Output 5 18 31 20
instruction
0
17,099
12
34,198
Tags: data structures, implementation Correct Solution: ``` import sys def read(line): return [int(c) for c in line.strip().split()] def main(): test = sys.stdin.readlines() n, m, k = read(test[0]) array = read(test[1]) ops = [read(test[2+j]) for j in range(m)] l, r, d = [], [], [] for li, ri, di in ops: l.append(li) r.append(ri) d.append(di) queries = [read(test[2+m+j]) for j in range(k)] inc = [0] * (m+1) for x, y in queries: inc[x-1] += 1 inc[y] -= 1 dInA = [0] * (n+1) c = 0 for i in range(m): c += inc[i] newValueD = c * d[i] dInA[l[i]-1] += newValueD dInA[r[i]] -= newValueD ans = [] c = 0 for i in range(n): c += dInA[i] ans.append(c+array[i]) print(*ans) if __name__ == "__main__": main() # 12 - 12:35 ```
output
1
17,099
12
34,199
Provide tags and a correct Python 3 solution for this coding contest problem. Greg has an array a = a1, a2, ..., an and m operations. Each operation looks as: li, ri, di, (1 ≤ li ≤ ri ≤ n). To apply operation i to the array means to increase all array elements with numbers li, li + 1, ..., ri by value di. Greg wrote down k queries on a piece of paper. Each query has the following form: xi, yi, (1 ≤ xi ≤ yi ≤ m). That means that one should apply operations with numbers xi, xi + 1, ..., yi to the array. Now Greg is wondering, what the array a will be after all the queries are executed. Help Greg. Input The first line contains integers n, m, k (1 ≤ n, m, k ≤ 105). The second line contains n integers: a1, a2, ..., an (0 ≤ ai ≤ 105) — the initial array. Next m lines contain operations, the operation number i is written as three integers: li, ri, di, (1 ≤ li ≤ ri ≤ n), (0 ≤ di ≤ 105). Next k lines contain the queries, the query number i is written as two integers: xi, yi, (1 ≤ xi ≤ yi ≤ m). The numbers in the lines are separated by single spaces. Output On a single line print n integers a1, a2, ..., an — the array after executing all the queries. Separate the printed numbers by spaces. Please, do not use the %lld specifier to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams of the %I64d specifier. Examples Input 3 3 3 1 2 3 1 2 1 1 3 2 2 3 4 1 2 1 3 2 3 Output 9 18 17 Input 1 1 1 1 1 1 1 1 1 Output 2 Input 4 3 6 1 2 3 4 1 2 1 2 3 2 3 4 4 1 2 1 3 2 3 1 2 1 3 2 3 Output 5 18 31 20
instruction
0
17,100
12
34,200
Tags: data structures, implementation Correct Solution: ``` #!/usr/bin/env python3 # created : 2020. 8. 19. 00:08 import os from sys import stdin, stdout def solve(tc): n, m, k = map(int, stdin.readline().split()) seq = list(map(int, stdin.readline().split())) ops = [] for i in range(m): ops.append(list(map(int, stdin.readline().split()))) opsAcc = [0 for i in range(m+1)] for i in range(k): l, r = map(int, stdin.readline().split()) opsAcc[l-1] += 1 opsAcc[r] -= 1 seqAcc = [0 for i in range(n+1)] seqAcc[ops[0][0]-1] += ops[0][2] * opsAcc[0] seqAcc[ops[0][1]] -= ops[0][2] * opsAcc[0] for i in range(1, m+1): opsAcc[i] += opsAcc[i-1] if i < m: seqAcc[ops[i][0]-1] += ops[i][2] * opsAcc[i] seqAcc[ops[i][1]] -= ops[i][2] * opsAcc[i] seq[0] += seqAcc[0] for i in range(1, n+1): seqAcc[i] += seqAcc[i-1] if i < n: seq[i] += seqAcc[i] print(*seq) tcs = 1 tc = 1 while tc <= tcs: solve(tc) tc += 1 ```
output
1
17,100
12
34,201
Provide tags and a correct Python 3 solution for this coding contest problem. Greg has an array a = a1, a2, ..., an and m operations. Each operation looks as: li, ri, di, (1 ≤ li ≤ ri ≤ n). To apply operation i to the array means to increase all array elements with numbers li, li + 1, ..., ri by value di. Greg wrote down k queries on a piece of paper. Each query has the following form: xi, yi, (1 ≤ xi ≤ yi ≤ m). That means that one should apply operations with numbers xi, xi + 1, ..., yi to the array. Now Greg is wondering, what the array a will be after all the queries are executed. Help Greg. Input The first line contains integers n, m, k (1 ≤ n, m, k ≤ 105). The second line contains n integers: a1, a2, ..., an (0 ≤ ai ≤ 105) — the initial array. Next m lines contain operations, the operation number i is written as three integers: li, ri, di, (1 ≤ li ≤ ri ≤ n), (0 ≤ di ≤ 105). Next k lines contain the queries, the query number i is written as two integers: xi, yi, (1 ≤ xi ≤ yi ≤ m). The numbers in the lines are separated by single spaces. Output On a single line print n integers a1, a2, ..., an — the array after executing all the queries. Separate the printed numbers by spaces. Please, do not use the %lld specifier to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams of the %I64d specifier. Examples Input 3 3 3 1 2 3 1 2 1 1 3 2 2 3 4 1 2 1 3 2 3 Output 9 18 17 Input 1 1 1 1 1 1 1 1 1 Output 2 Input 4 3 6 1 2 3 4 1 2 1 2 3 2 3 4 4 1 2 1 3 2 3 1 2 1 3 2 3 Output 5 18 31 20
instruction
0
17,101
12
34,202
Tags: data structures, implementation Correct Solution: ``` import sys input = sys.stdin.readline n, m, k = map(int, input().split()) a = list(map(int, input().split())) l = [] r = [] d = [] # храним операции for i in range(m): lx, rx, dx = map(int, input().split()) l.append(lx) r.append(rx) d.append(dx) # сколько каких операций kol = [0] * (10 ** 5 + 5) for j in range(k): x, y = map(int, input().split()) x -= 1 kol[x] += 1 kol[y] -= 1 for j in range(len(kol) - 1): kol[j + 1] += kol[j] # добавление на интервале p = [0] * (n + 1) for i in range(m): le = l[i] - 1 ri = r[i] di = d[i] * kol[i] p[le] += di p[ri] -= di ans = [0] * (n + 1) for i in range(n): ans[i + 1] = ans[i] + p[i] ans = ans[1:] for i in range(n): print(ans[i] + a[i], end=' ') ```
output
1
17,101
12
34,203
Provide tags and a correct Python 3 solution for this coding contest problem. Greg has an array a = a1, a2, ..., an and m operations. Each operation looks as: li, ri, di, (1 ≤ li ≤ ri ≤ n). To apply operation i to the array means to increase all array elements with numbers li, li + 1, ..., ri by value di. Greg wrote down k queries on a piece of paper. Each query has the following form: xi, yi, (1 ≤ xi ≤ yi ≤ m). That means that one should apply operations with numbers xi, xi + 1, ..., yi to the array. Now Greg is wondering, what the array a will be after all the queries are executed. Help Greg. Input The first line contains integers n, m, k (1 ≤ n, m, k ≤ 105). The second line contains n integers: a1, a2, ..., an (0 ≤ ai ≤ 105) — the initial array. Next m lines contain operations, the operation number i is written as three integers: li, ri, di, (1 ≤ li ≤ ri ≤ n), (0 ≤ di ≤ 105). Next k lines contain the queries, the query number i is written as two integers: xi, yi, (1 ≤ xi ≤ yi ≤ m). The numbers in the lines are separated by single spaces. Output On a single line print n integers a1, a2, ..., an — the array after executing all the queries. Separate the printed numbers by spaces. Please, do not use the %lld specifier to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams of the %I64d specifier. Examples Input 3 3 3 1 2 3 1 2 1 1 3 2 2 3 4 1 2 1 3 2 3 Output 9 18 17 Input 1 1 1 1 1 1 1 1 1 Output 2 Input 4 3 6 1 2 3 4 1 2 1 2 3 2 3 4 4 1 2 1 3 2 3 1 2 1 3 2 3 Output 5 18 31 20
instruction
0
17,102
12
34,204
Tags: data structures, implementation Correct Solution: ``` """ A. Greg and Array """ import sys n, m, k = map(int, sys.stdin.readline().split()) arr = [x for x in map(int, sys.stdin.readline().split())] ops = [] for x in range(m): ops.append((map(int, sys.stdin.readline().split()))) c = [0] * m # hold number of ops starting at i for x in range(k): l, r = map(int, sys.stdin.readline().split()) c[l - 1] += 1 if r < m: c[r] -= 1 # query affects i - 1, stop at i times_used = [0] * m # times each op is used times_used[0] = c[0] for x in range(1, m): times_used[x] = times_used[x - 1] + c[x] c1 = [0] * n # hold number of updates starting at i for x in range(m): l, r, d = ops[x] c1[l - 1] += times_used[x] * d if r < n: c1[r] -= times_used[x] * d amount_added = [0] * n # amount to add to arr[i] amount_added[0] = c1[0] arr[0] += amount_added[0] for x in range(1, n): amount_added[x] = amount_added[x - 1] + c1[x] arr[x] += amount_added[x] print(*arr, sep = " ", end = "\n") ```
output
1
17,102
12
34,205
Provide tags and a correct Python 3 solution for this coding contest problem. Professor Vasechkin is studying evolution of worms. Recently he put forward hypotheses that all worms evolve by division. There are n forms of worms. Worms of these forms have lengths a1, a2, ..., an. To prove his theory, professor needs to find 3 different forms that the length of the first form is equal to sum of lengths of the other two forms. Help him to do this. Input The first line contains integer n (3 ≤ n ≤ 100) — amount of worm's forms. The second line contains n space-separated integers ai (1 ≤ ai ≤ 1000) — lengths of worms of each form. Output Output 3 distinct integers i j k (1 ≤ i, j, k ≤ n) — such indexes of worm's forms that ai = aj + ak. If there is no such triple, output -1. If there are several solutions, output any of them. It possible that aj = ak. Examples Input 5 1 2 3 5 7 Output 3 2 1 Input 5 1 8 1 5 1 Output -1
instruction
0
17,111
12
34,222
Tags: implementation Correct Solution: ``` n = int(input()) g = list(map(int, input().split())) doc = [] for i in g: for j in g: if j != i: k = i - j if k > 0: if g.count(k) > 1: if k in g: doc.append(i) doc.append(j) doc.append(k) break else: continue else: if k in g and j != k: doc.append(i) doc.append(j) doc.append(k) break else: continue else: continue else: continue if len(doc) == 3: break else: continue l = [] if len(doc) == 3: for k in doc: l.append(g.index(k) + 1) g[g.index(k)] = 0 print(*l) else: print(-1) ```
output
1
17,111
12
34,223
Provide tags and a correct Python 3 solution for this coding contest problem. Professor Vasechkin is studying evolution of worms. Recently he put forward hypotheses that all worms evolve by division. There are n forms of worms. Worms of these forms have lengths a1, a2, ..., an. To prove his theory, professor needs to find 3 different forms that the length of the first form is equal to sum of lengths of the other two forms. Help him to do this. Input The first line contains integer n (3 ≤ n ≤ 100) — amount of worm's forms. The second line contains n space-separated integers ai (1 ≤ ai ≤ 1000) — lengths of worms of each form. Output Output 3 distinct integers i j k (1 ≤ i, j, k ≤ n) — such indexes of worm's forms that ai = aj + ak. If there is no such triple, output -1. If there are several solutions, output any of them. It possible that aj = ak. Examples Input 5 1 2 3 5 7 Output 3 2 1 Input 5 1 8 1 5 1 Output -1
instruction
0
17,112
12
34,224
Tags: implementation Correct Solution: ``` n=int(input()) a=[[int(j),i] for i,j in enumerate(input().split(' '))] b=sorted(a)[::-1] s='-1' for i in range(n-2): for j in range(i+1,n-1): for k in range(j+1,n): if b[i][0]==b[j][0]+b[k][0]: s=str(b[i][1]+1)+' '+str(b[j][1]+1)+' '+str(b[k][1]+1) print(s) ```
output
1
17,112
12
34,225
Provide tags and a correct Python 3 solution for this coding contest problem. Professor Vasechkin is studying evolution of worms. Recently he put forward hypotheses that all worms evolve by division. There are n forms of worms. Worms of these forms have lengths a1, a2, ..., an. To prove his theory, professor needs to find 3 different forms that the length of the first form is equal to sum of lengths of the other two forms. Help him to do this. Input The first line contains integer n (3 ≤ n ≤ 100) — amount of worm's forms. The second line contains n space-separated integers ai (1 ≤ ai ≤ 1000) — lengths of worms of each form. Output Output 3 distinct integers i j k (1 ≤ i, j, k ≤ n) — such indexes of worm's forms that ai = aj + ak. If there is no such triple, output -1. If there are several solutions, output any of them. It possible that aj = ak. Examples Input 5 1 2 3 5 7 Output 3 2 1 Input 5 1 8 1 5 1 Output -1
instruction
0
17,113
12
34,226
Tags: implementation Correct Solution: ``` n = int(input()) w = [int(i) for i in input().split()] f = False for i in range(n): if f: break for j in range(n): if f: break if i == j: continue for k in range(n): if f: break if k == i or j == k: continue if w[i] == w[j] + w[k]: a, b, c = i, j, k f = True elif w[j] == w[k] + w[i]: a, b, c = j, i, k f = True elif w[k] == w[i] + w[j]: f = True a, b, c = k, i, j if f: print(a+1, b+1, c+1) else: print(-1) ```
output
1
17,113
12
34,227
Provide tags and a correct Python 3 solution for this coding contest problem. Professor Vasechkin is studying evolution of worms. Recently he put forward hypotheses that all worms evolve by division. There are n forms of worms. Worms of these forms have lengths a1, a2, ..., an. To prove his theory, professor needs to find 3 different forms that the length of the first form is equal to sum of lengths of the other two forms. Help him to do this. Input The first line contains integer n (3 ≤ n ≤ 100) — amount of worm's forms. The second line contains n space-separated integers ai (1 ≤ ai ≤ 1000) — lengths of worms of each form. Output Output 3 distinct integers i j k (1 ≤ i, j, k ≤ n) — such indexes of worm's forms that ai = aj + ak. If there is no such triple, output -1. If there are several solutions, output any of them. It possible that aj = ak. Examples Input 5 1 2 3 5 7 Output 3 2 1 Input 5 1 8 1 5 1 Output -1
instruction
0
17,114
12
34,228
Tags: implementation Correct Solution: ``` n = int(input()) lst = list(map(int,input().split())) l = len(lst) found = False for i in range(l): for j in range(i+1,l): for k in range(j+1,l): if(lst[i] == lst[j]+lst[k] ): print(f"{i+1} {j+1} {k+1}") found = True break elif lst[j] == lst[i]+lst[k]: print(f"{j+1} {i+1} {k+1}") found = True break elif lst[k] == lst[i]+lst[j]: print(f"{k+1} {i+1} {j+1}") found = True break if found:break if found:break if not found:print(-1) ```
output
1
17,114
12
34,229
Provide tags and a correct Python 3 solution for this coding contest problem. Professor Vasechkin is studying evolution of worms. Recently he put forward hypotheses that all worms evolve by division. There are n forms of worms. Worms of these forms have lengths a1, a2, ..., an. To prove his theory, professor needs to find 3 different forms that the length of the first form is equal to sum of lengths of the other two forms. Help him to do this. Input The first line contains integer n (3 ≤ n ≤ 100) — amount of worm's forms. The second line contains n space-separated integers ai (1 ≤ ai ≤ 1000) — lengths of worms of each form. Output Output 3 distinct integers i j k (1 ≤ i, j, k ≤ n) — such indexes of worm's forms that ai = aj + ak. If there is no such triple, output -1. If there are several solutions, output any of them. It possible that aj = ak. Examples Input 5 1 2 3 5 7 Output 3 2 1 Input 5 1 8 1 5 1 Output -1
instruction
0
17,115
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Tags: implementation Correct Solution: ``` n = int(input()) arr = tuple(map(int, input().strip().split(' '))) milon = {} for i in range(n-1): for j in range(i+1, n): k = arr[i] + arr[j] if k not in milon: milon[k] = (i, j) for i in range(n): if arr[i] in milon: v = milon[arr[i]] print('{} {} {}'.format(i+1, v[0]+1, v[1]+1)) exit() print(-1) ```
output
1
17,115
12
34,231
Provide tags and a correct Python 3 solution for this coding contest problem. Professor Vasechkin is studying evolution of worms. Recently he put forward hypotheses that all worms evolve by division. There are n forms of worms. Worms of these forms have lengths a1, a2, ..., an. To prove his theory, professor needs to find 3 different forms that the length of the first form is equal to sum of lengths of the other two forms. Help him to do this. Input The first line contains integer n (3 ≤ n ≤ 100) — amount of worm's forms. The second line contains n space-separated integers ai (1 ≤ ai ≤ 1000) — lengths of worms of each form. Output Output 3 distinct integers i j k (1 ≤ i, j, k ≤ n) — such indexes of worm's forms that ai = aj + ak. If there is no such triple, output -1. If there are several solutions, output any of them. It possible that aj = ak. Examples Input 5 1 2 3 5 7 Output 3 2 1 Input 5 1 8 1 5 1 Output -1
instruction
0
17,116
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Tags: implementation Correct Solution: ``` n=int(input()) a=list(map(int,input().split())) f=0 for i in range(0,n): for j in range(0,n): if(((a[i]+a[j]) in a)and i!=j): print(a.index(a[i]+a[j])+1,i+1,j+1) f=1 break if(f==1): break if(f==0): print(-1) ```
output
1
17,116
12
34,233
Provide tags and a correct Python 3 solution for this coding contest problem. Professor Vasechkin is studying evolution of worms. Recently he put forward hypotheses that all worms evolve by division. There are n forms of worms. Worms of these forms have lengths a1, a2, ..., an. To prove his theory, professor needs to find 3 different forms that the length of the first form is equal to sum of lengths of the other two forms. Help him to do this. Input The first line contains integer n (3 ≤ n ≤ 100) — amount of worm's forms. The second line contains n space-separated integers ai (1 ≤ ai ≤ 1000) — lengths of worms of each form. Output Output 3 distinct integers i j k (1 ≤ i, j, k ≤ n) — such indexes of worm's forms that ai = aj + ak. If there is no such triple, output -1. If there are several solutions, output any of them. It possible that aj = ak. Examples Input 5 1 2 3 5 7 Output 3 2 1 Input 5 1 8 1 5 1 Output -1
instruction
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Tags: implementation Correct Solution: ``` n=int(input()) a=list(map(int,input().split())) for i in range(n): for j in range(n): if a[i]+a[j] in a and i!=j!=a.index(a[i]+a[j]): print(a.index(a[i]+a[j])+1,i+1,j+1) exit() print(-1) ```
output
1
17,117
12
34,235
Provide tags and a correct Python 3 solution for this coding contest problem. Professor Vasechkin is studying evolution of worms. Recently he put forward hypotheses that all worms evolve by division. There are n forms of worms. Worms of these forms have lengths a1, a2, ..., an. To prove his theory, professor needs to find 3 different forms that the length of the first form is equal to sum of lengths of the other two forms. Help him to do this. Input The first line contains integer n (3 ≤ n ≤ 100) — amount of worm's forms. The second line contains n space-separated integers ai (1 ≤ ai ≤ 1000) — lengths of worms of each form. Output Output 3 distinct integers i j k (1 ≤ i, j, k ≤ n) — such indexes of worm's forms that ai = aj + ak. If there is no such triple, output -1. If there are several solutions, output any of them. It possible that aj = ak. Examples Input 5 1 2 3 5 7 Output 3 2 1 Input 5 1 8 1 5 1 Output -1
instruction
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17,118
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Tags: implementation Correct Solution: ``` n=int(input()) l=list(map(int,input().split())) f=0 for i in range(n): for j in range(n): if(l[i]-l[j] in l and l.index(l[i]-l[j])!=j): f=1 print(i+1,j+1,l.index(l[i]-l[j])+1) break if(f==1): break if(f==0): print(-1) ```
output
1
17,118
12
34,237
Provide a correct Python 3 solution for this coding contest problem. You are given N integers; the i-th of them is A_i. Find the maximum possible sum of the absolute differences between the adjacent elements after arranging these integers in a row in any order you like. Constraints * 2 \leq N \leq 10^5 * 1 \leq A_i \leq 10^9 * All values in input are integers. Input Input is given from Standard Input in the following format: N A_1 : A_N Output Print the maximum possible sum of the absolute differences between the adjacent elements after arranging the given integers in a row in any order you like. Examples Input 5 6 8 1 2 3 Output 21 Input 6 3 1 4 1 5 9 Output 25 Input 3 5 5 1 Output 8
instruction
0
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12
35,018
"Correct Solution: ``` from collections import deque n = int(input()) a = [int(input()) for _ in range(n)] a.sort() que = deque(a) right = que.pop() left = que.popleft() sums = right - left while(bool(que)): a = que.pop() if not bool(que): sums += max(abs(right-a),abs(left-a)) break b = que.popleft() sums += right + a - left -b right = a left = b print(sums) ```
output
1
17,509
12
35,019
Provide a correct Python 3 solution for this coding contest problem. Write a program which manipulates a disjoint set S = {S1, S2, . . . , Sk}. First of all, the program should read an integer n, then make a disjoint set where each element consists of 0, 1, ... n−1 respectively. Next, the program should read an integer q and manipulate the set for q queries. There are two kinds of queries for different operations: * unite(x, y): unites sets that contain x and y, say Sx and Sy, into a new set. * same(x, y): determine whether x and y are in the same set. Constraints * 1 ≤ n ≤ 10000 * 1 ≤ q ≤ 100000 * x ≠ y Input n q com1 x1 y1 com2 x2 y2 ... comq xq yq In the first line, n and q are given. Then, q queries are given where com represents the type of queries. '0' denotes unite and '1' denotes same operation. Output For each same operation, print 1 if x and y are in the same set, otherwise 0, in a line. Example Input 5 12 0 1 4 0 2 3 1 1 2 1 3 4 1 1 4 1 3 2 0 1 3 1 2 4 1 3 0 0 0 4 1 0 2 1 3 0 Output 0 0 1 1 1 0 1 1
instruction
0
17,661
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35,322
"Correct Solution: ``` class DisjointSet: def __init__(self, size): self.rank = [0] * size self.p = list(range(size)) def findSet(self, x): if x != self.p[x]: self.p[x] = self.findSet(self.p[x]) return self.p[x] def same(self, x, y): return self.findSet(x) == self.findSet(y) def link(self, x, y): if self.rank[x] > self.rank[y]: self.p[y] = x else: self.p[x] = y if self.rank[x] == self.rank[y]: self.rank[y] += 1 def unite(self, x, y): self.link(self.findSet(x), self.findSet(y)) if __name__ == '__main__': n, q = [int(v) for v in input().split()] ds = DisjointSet(n) for i in range(q): com, x, y = [int(v) for v in input().split()] if com == 0: ds.unite(x, y) elif com == 1: if ds.same(x, y): print(1) else: print(0) ```
output
1
17,661
12
35,323
Provide a correct Python 3 solution for this coding contest problem. Write a program which manipulates a disjoint set S = {S1, S2, . . . , Sk}. First of all, the program should read an integer n, then make a disjoint set where each element consists of 0, 1, ... n−1 respectively. Next, the program should read an integer q and manipulate the set for q queries. There are two kinds of queries for different operations: * unite(x, y): unites sets that contain x and y, say Sx and Sy, into a new set. * same(x, y): determine whether x and y are in the same set. Constraints * 1 ≤ n ≤ 10000 * 1 ≤ q ≤ 100000 * x ≠ y Input n q com1 x1 y1 com2 x2 y2 ... comq xq yq In the first line, n and q are given. Then, q queries are given where com represents the type of queries. '0' denotes unite and '1' denotes same operation. Output For each same operation, print 1 if x and y are in the same set, otherwise 0, in a line. Example Input 5 12 0 1 4 0 2 3 1 1 2 1 3 4 1 1 4 1 3 2 0 1 3 1 2 4 1 3 0 0 0 4 1 0 2 1 3 0 Output 0 0 1 1 1 0 1 1
instruction
0
17,663
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35,326
"Correct Solution: ``` def main(): n,q = [int(i) for i in input().split()] #自分自身が親 par = [ i for i in range(n)] #ランク rank = [ 0 for i in range(n)] #親を返す関数 def find(x): if par[x] == x: return x else: par[x] = find(par[x]) return par[x] #木を結合する def unite(x,y): x = find(x) y = find(y) if x == y: return if rank[x]<rank[y]: par[x] = y return elif rank[y]<rank[x]: par[y] = x return else: par[x] = y rank[y] +=1 return def same(x,y): return find(x) == find(y) for i in range(q): com,x,y = [int(j) for j in input().split()] #unite if com == 0: unite(x,y) #same else: if same(x,y): print(1) else: print(0) if __name__ == '__main__': main() ```
output
1
17,663
12
35,327
Provide a correct Python 3 solution for this coding contest problem. Write a program which manipulates a disjoint set S = {S1, S2, . . . , Sk}. First of all, the program should read an integer n, then make a disjoint set where each element consists of 0, 1, ... n−1 respectively. Next, the program should read an integer q and manipulate the set for q queries. There are two kinds of queries for different operations: * unite(x, y): unites sets that contain x and y, say Sx and Sy, into a new set. * same(x, y): determine whether x and y are in the same set. Constraints * 1 ≤ n ≤ 10000 * 1 ≤ q ≤ 100000 * x ≠ y Input n q com1 x1 y1 com2 x2 y2 ... comq xq yq In the first line, n and q are given. Then, q queries are given where com represents the type of queries. '0' denotes unite and '1' denotes same operation. Output For each same operation, print 1 if x and y are in the same set, otherwise 0, in a line. Example Input 5 12 0 1 4 0 2 3 1 1 2 1 3 4 1 1 4 1 3 2 0 1 3 1 2 4 1 3 0 0 0 4 1 0 2 1 3 0 Output 0 0 1 1 1 0 1 1
instruction
0
17,667
12
35,334
"Correct Solution: ``` class DisjointSet(): def __init__(self, size): self.rank = [None] * size self.p = [None] * size for i in range(size): self.makeSet(i) def makeSet(self, x): self.p[x] = x self.rank[x] = 0 def same(self,x,y): return self.findSet(x) == self.findSet(y) def unite(self,x,y): self.link(self.findSet(x), self.findSet(y)) def link(self, x, y): if self.rank[x] > self.rank[y]: self.p[y] = x else: self.p[x] = y if self.rank[x] == self.rank[y]: self.rank[y] += 1 def findSet(self, x): if x != self.p[x]: self.p[x] = self.findSet(self.p[x]) return self.p[x] n,q = map(int, input().split()) ds = DisjointSet(n) for i in range(q): t,a,b = map(int, input().split()) if t == 0: ds.unite(a,b) elif t == 1: if ds.same(a,b): print("1") else: print("0") ```
output
1
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35,335
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Write a program which manipulates a disjoint set S = {S1, S2, . . . , Sk}. First of all, the program should read an integer n, then make a disjoint set where each element consists of 0, 1, ... n−1 respectively. Next, the program should read an integer q and manipulate the set for q queries. There are two kinds of queries for different operations: * unite(x, y): unites sets that contain x and y, say Sx and Sy, into a new set. * same(x, y): determine whether x and y are in the same set. Constraints * 1 ≤ n ≤ 10000 * 1 ≤ q ≤ 100000 * x ≠ y Input n q com1 x1 y1 com2 x2 y2 ... comq xq yq In the first line, n and q are given. Then, q queries are given where com represents the type of queries. '0' denotes unite and '1' denotes same operation. Output For each same operation, print 1 if x and y are in the same set, otherwise 0, in a line. Example Input 5 12 0 1 4 0 2 3 1 1 2 1 3 4 1 1 4 1 3 2 0 1 3 1 2 4 1 3 0 0 0 4 1 0 2 1 3 0 Output 0 0 1 1 1 0 1 1 Submitted Solution: ``` p=[] rank=[] answer=[] def makeset(x): p[x] = x rank[x] = 0 def union(x,y): link(findset(x),findset(y)) def link(x,y): if rank[x] > rank[y]: p[y] = x else: p[x] = y if rank[x] == rank[y]: rank[y] = rank[y] + 1 def findset(x): if x != p[x]: p[x] = findset(p[x]) return p[x] t,s = map(int,input().split()) for i in range(t): p.append(None) rank.append(None) while True: try: o,x,y = map(int,input().split()) except: break else: if o == 0: if p[x] == None: makeset(x) if p[y] == None: makeset(y) union(x,y) else: if p[x] == None: makeset(x) if p[y] == None: makeset(y) if findset(x) == findset(y): answer.append(1) else: answer.append(0) for i in range(len(answer)): print(answer[i]) ```
instruction
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Yes
output
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Provide tags and a correct Python 3 solution for this coding contest problem. Salem gave you n sticks with integer positive lengths a_1, a_2, …, a_n. For every stick, you can change its length to any other positive integer length (that is, either shrink or stretch it). The cost of changing the stick's length from a to b is |a - b|, where |x| means the absolute value of x. A stick length a_i is called almost good for some integer t if |a_i - t| ≤ 1. Salem asks you to change the lengths of some sticks (possibly all or none), such that all sticks' lengths are almost good for some positive integer t and the total cost of changing is minimum possible. The value of t is not fixed in advance and you can choose it as any positive integer. As an answer, print the value of t and the minimum cost. If there are multiple optimal choices for t, print any of them. Input The first line contains a single integer n (1 ≤ n ≤ 1000) — the number of sticks. The second line contains n integers a_i (1 ≤ a_i ≤ 100) — the lengths of the sticks. Output Print the value of t and the minimum possible cost. If there are multiple optimal choices for t, print any of them. Examples Input 3 10 1 4 Output 3 7 Input 5 1 1 2 2 3 Output 2 0 Note In the first example, we can change 1 into 2 and 10 into 4 with cost |1 - 2| + |10 - 4| = 1 + 6 = 7 and the resulting lengths [2, 4, 4] are almost good for t = 3. In the second example, the sticks lengths are already almost good for t = 2, so we don't have to do anything.
instruction
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Tags: brute force, implementation Correct Solution: ``` # -*- coding: utf-8 -*- # @Time : 2019/1/20 20:06 # @Author : LunaFire # @Email : gilgemesh2012@gmail.com # @File : A. Salem and Sticks.py def main(): n = int(input()) a = list(map(int, input().split())) ret = [0, 100 * 1000] for x in range(1, 101): total_cost = 0 for v in a: total_cost += min(abs(x + 1 - v), abs(x - v), abs(x - 1 - v)) if total_cost < ret[1]: ret = [x, total_cost] print(ret[0], ret[1]) if __name__ == '__main__': main() ```
output
1
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12
35,479
Provide tags and a correct Python 3 solution for this coding contest problem. Salem gave you n sticks with integer positive lengths a_1, a_2, …, a_n. For every stick, you can change its length to any other positive integer length (that is, either shrink or stretch it). The cost of changing the stick's length from a to b is |a - b|, where |x| means the absolute value of x. A stick length a_i is called almost good for some integer t if |a_i - t| ≤ 1. Salem asks you to change the lengths of some sticks (possibly all or none), such that all sticks' lengths are almost good for some positive integer t and the total cost of changing is minimum possible. The value of t is not fixed in advance and you can choose it as any positive integer. As an answer, print the value of t and the minimum cost. If there are multiple optimal choices for t, print any of them. Input The first line contains a single integer n (1 ≤ n ≤ 1000) — the number of sticks. The second line contains n integers a_i (1 ≤ a_i ≤ 100) — the lengths of the sticks. Output Print the value of t and the minimum possible cost. If there are multiple optimal choices for t, print any of them. Examples Input 3 10 1 4 Output 3 7 Input 5 1 1 2 2 3 Output 2 0 Note In the first example, we can change 1 into 2 and 10 into 4 with cost |1 - 2| + |10 - 4| = 1 + 6 = 7 and the resulting lengths [2, 4, 4] are almost good for t = 3. In the second example, the sticks lengths are already almost good for t = 2, so we don't have to do anything.
instruction
0
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Tags: brute force, implementation Correct Solution: ``` n = int(input()) arr = list(map(int,input().split())) x = max(arr) ans = 99999999 for t in range(1,x+2): sum = 0 for i in arr: sum += min(abs(t-i),abs(t-i-1),abs(t-i+1)) if sum<ans: ans = sum T = t print(T,ans) ```
output
1
17,740
12
35,481
Provide tags and a correct Python 3 solution for this coding contest problem. Salem gave you n sticks with integer positive lengths a_1, a_2, …, a_n. For every stick, you can change its length to any other positive integer length (that is, either shrink or stretch it). The cost of changing the stick's length from a to b is |a - b|, where |x| means the absolute value of x. A stick length a_i is called almost good for some integer t if |a_i - t| ≤ 1. Salem asks you to change the lengths of some sticks (possibly all or none), such that all sticks' lengths are almost good for some positive integer t and the total cost of changing is minimum possible. The value of t is not fixed in advance and you can choose it as any positive integer. As an answer, print the value of t and the minimum cost. If there are multiple optimal choices for t, print any of them. Input The first line contains a single integer n (1 ≤ n ≤ 1000) — the number of sticks. The second line contains n integers a_i (1 ≤ a_i ≤ 100) — the lengths of the sticks. Output Print the value of t and the minimum possible cost. If there are multiple optimal choices for t, print any of them. Examples Input 3 10 1 4 Output 3 7 Input 5 1 1 2 2 3 Output 2 0 Note In the first example, we can change 1 into 2 and 10 into 4 with cost |1 - 2| + |10 - 4| = 1 + 6 = 7 and the resulting lengths [2, 4, 4] are almost good for t = 3. In the second example, the sticks lengths are already almost good for t = 2, so we don't have to do anything.
instruction
0
17,741
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Tags: brute force, implementation Correct Solution: ``` n = int(input()) a = list(map(int,input().split())) t = 0 mn = 1000000000 for i in range(1,100): cur = 0 for j in range(n): cur += max(0,abs(i-a[j])-1) if cur < mn: mn = cur t = i print(t,mn) ```
output
1
17,741
12
35,483
Provide tags and a correct Python 3 solution for this coding contest problem. Salem gave you n sticks with integer positive lengths a_1, a_2, …, a_n. For every stick, you can change its length to any other positive integer length (that is, either shrink or stretch it). The cost of changing the stick's length from a to b is |a - b|, where |x| means the absolute value of x. A stick length a_i is called almost good for some integer t if |a_i - t| ≤ 1. Salem asks you to change the lengths of some sticks (possibly all or none), such that all sticks' lengths are almost good for some positive integer t and the total cost of changing is minimum possible. The value of t is not fixed in advance and you can choose it as any positive integer. As an answer, print the value of t and the minimum cost. If there are multiple optimal choices for t, print any of them. Input The first line contains a single integer n (1 ≤ n ≤ 1000) — the number of sticks. The second line contains n integers a_i (1 ≤ a_i ≤ 100) — the lengths of the sticks. Output Print the value of t and the minimum possible cost. If there are multiple optimal choices for t, print any of them. Examples Input 3 10 1 4 Output 3 7 Input 5 1 1 2 2 3 Output 2 0 Note In the first example, we can change 1 into 2 and 10 into 4 with cost |1 - 2| + |10 - 4| = 1 + 6 = 7 and the resulting lengths [2, 4, 4] are almost good for t = 3. In the second example, the sticks lengths are already almost good for t = 2, so we don't have to do anything.
instruction
0
17,742
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Tags: brute force, implementation Correct Solution: ``` n = int(input()) a = list(map(int,input().split())) c,t = min((sum(max(0, abs(t-x)-1) for x in a), t) for t in range(1,max(a)+1)) print(t,c) ```
output
1
17,742
12
35,485
Provide tags and a correct Python 3 solution for this coding contest problem. Salem gave you n sticks with integer positive lengths a_1, a_2, …, a_n. For every stick, you can change its length to any other positive integer length (that is, either shrink or stretch it). The cost of changing the stick's length from a to b is |a - b|, where |x| means the absolute value of x. A stick length a_i is called almost good for some integer t if |a_i - t| ≤ 1. Salem asks you to change the lengths of some sticks (possibly all or none), such that all sticks' lengths are almost good for some positive integer t and the total cost of changing is minimum possible. The value of t is not fixed in advance and you can choose it as any positive integer. As an answer, print the value of t and the minimum cost. If there are multiple optimal choices for t, print any of them. Input The first line contains a single integer n (1 ≤ n ≤ 1000) — the number of sticks. The second line contains n integers a_i (1 ≤ a_i ≤ 100) — the lengths of the sticks. Output Print the value of t and the minimum possible cost. If there are multiple optimal choices for t, print any of them. Examples Input 3 10 1 4 Output 3 7 Input 5 1 1 2 2 3 Output 2 0 Note In the first example, we can change 1 into 2 and 10 into 4 with cost |1 - 2| + |10 - 4| = 1 + 6 = 7 and the resulting lengths [2, 4, 4] are almost good for t = 3. In the second example, the sticks lengths are already almost good for t = 2, so we don't have to do anything.
instruction
0
17,743
12
35,486
Tags: brute force, implementation Correct Solution: ``` import math from statistics import median if __name__ == '__main__': n = int(input()) arr = list(map(int, input().split())) min_changes = math.inf min_mean = None for mean in range(2, 100): changes = 0 for a in arr: diff = abs(a - mean) if diff > 1: changes += diff - 1 if changes < min_changes: min_changes = changes min_mean = mean else: break print(min_mean, min_changes) ```
output
1
17,743
12
35,487
Provide tags and a correct Python 3 solution for this coding contest problem. Salem gave you n sticks with integer positive lengths a_1, a_2, …, a_n. For every stick, you can change its length to any other positive integer length (that is, either shrink or stretch it). The cost of changing the stick's length from a to b is |a - b|, where |x| means the absolute value of x. A stick length a_i is called almost good for some integer t if |a_i - t| ≤ 1. Salem asks you to change the lengths of some sticks (possibly all or none), such that all sticks' lengths are almost good for some positive integer t and the total cost of changing is minimum possible. The value of t is not fixed in advance and you can choose it as any positive integer. As an answer, print the value of t and the minimum cost. If there are multiple optimal choices for t, print any of them. Input The first line contains a single integer n (1 ≤ n ≤ 1000) — the number of sticks. The second line contains n integers a_i (1 ≤ a_i ≤ 100) — the lengths of the sticks. Output Print the value of t and the minimum possible cost. If there are multiple optimal choices for t, print any of them. Examples Input 3 10 1 4 Output 3 7 Input 5 1 1 2 2 3 Output 2 0 Note In the first example, we can change 1 into 2 and 10 into 4 with cost |1 - 2| + |10 - 4| = 1 + 6 = 7 and the resulting lengths [2, 4, 4] are almost good for t = 3. In the second example, the sticks lengths are already almost good for t = 2, so we don't have to do anything.
instruction
0
17,744
12
35,488
Tags: brute force, implementation Correct Solution: ``` import sys import math import itertools import functools import collections import operator def ii(): return int(input()) def mi(): return map(int, input().split()) def li(): return list(map(int, input().split())) def lcm(a, b): return abs(a * b) // math.gcd(a, b) def wr(arr): return ' '.join(map(str, arr)) def revn(n): return str(n)[::-1] def dd(): return collections.defaultdict(int) def ddl(): return collections.defaultdict(list) def sieve(n): if n < 2: return list() prime = [True for _ in range(n + 1)] p = 3 while p * p <= n: if prime[p]: for i in range(p * 2, n + 1, p): prime[i] = False p += 2 r = [2] for p in range(3, n + 1, 2): if prime[p]: r.append(p) return r def divs(n, start=1): r = [] for i in range(start, int(math.sqrt(n) + 1)): if (n % i == 0): if (n / i == i): r.append(i) else: r.extend([i, n // i]) return r def divn(n, primes): divs_number = 1 for i in primes: if n == 1: return divs_number t = 1 while n % i == 0: t += 1 n //= i divs_number *= t def prime(n): if n == 2: return True if n % 2 == 0 or n <= 1: return False sqr = int(math.sqrt(n)) + 1 for d in range(3, sqr, 2): if n % d == 0: return False return True def convn(number, base): newnumber = 0 while number > 0: newnumber += number % base number //= base return newnumber def cdiv(n, k): return n // k + (n % k != 0) n = ii() a = li() ans = 10 ** 6 t = 0 for i in range(1, 101, 1): ts = 0 for j in range(n): if a[j] < i: ts += i - 1 - a[j] elif a[j] > i: ts += a[j] - i - 1 if ts < ans: t = i ans = ts print(t, ans) ```
output
1
17,744
12
35,489
Provide tags and a correct Python 3 solution for this coding contest problem. Salem gave you n sticks with integer positive lengths a_1, a_2, …, a_n. For every stick, you can change its length to any other positive integer length (that is, either shrink or stretch it). The cost of changing the stick's length from a to b is |a - b|, where |x| means the absolute value of x. A stick length a_i is called almost good for some integer t if |a_i - t| ≤ 1. Salem asks you to change the lengths of some sticks (possibly all or none), such that all sticks' lengths are almost good for some positive integer t and the total cost of changing is minimum possible. The value of t is not fixed in advance and you can choose it as any positive integer. As an answer, print the value of t and the minimum cost. If there are multiple optimal choices for t, print any of them. Input The first line contains a single integer n (1 ≤ n ≤ 1000) — the number of sticks. The second line contains n integers a_i (1 ≤ a_i ≤ 100) — the lengths of the sticks. Output Print the value of t and the minimum possible cost. If there are multiple optimal choices for t, print any of them. Examples Input 3 10 1 4 Output 3 7 Input 5 1 1 2 2 3 Output 2 0 Note In the first example, we can change 1 into 2 and 10 into 4 with cost |1 - 2| + |10 - 4| = 1 + 6 = 7 and the resulting lengths [2, 4, 4] are almost good for t = 3. In the second example, the sticks lengths are already almost good for t = 2, so we don't have to do anything.
instruction
0
17,745
12
35,490
Tags: brute force, implementation Correct Solution: ``` n=int(input()) l=list(map(int,input().split())) max1=99999 for i in range(1,101): sum1=0 for j in range(len(l)): if(l[j]>i): sum1=sum1+abs(l[j]-i-1) elif(l[j]<i): sum1=sum1+abs(l[j]+1-i) else: sum1=sum1+0 if(max1>sum1): max1=sum1 k=i print(k,max1,end=" ") ```
output
1
17,745
12
35,491
Provide tags and a correct Python 3 solution for this coding contest problem. Salem gave you n sticks with integer positive lengths a_1, a_2, …, a_n. For every stick, you can change its length to any other positive integer length (that is, either shrink or stretch it). The cost of changing the stick's length from a to b is |a - b|, where |x| means the absolute value of x. A stick length a_i is called almost good for some integer t if |a_i - t| ≤ 1. Salem asks you to change the lengths of some sticks (possibly all or none), such that all sticks' lengths are almost good for some positive integer t and the total cost of changing is minimum possible. The value of t is not fixed in advance and you can choose it as any positive integer. As an answer, print the value of t and the minimum cost. If there are multiple optimal choices for t, print any of them. Input The first line contains a single integer n (1 ≤ n ≤ 1000) — the number of sticks. The second line contains n integers a_i (1 ≤ a_i ≤ 100) — the lengths of the sticks. Output Print the value of t and the minimum possible cost. If there are multiple optimal choices for t, print any of them. Examples Input 3 10 1 4 Output 3 7 Input 5 1 1 2 2 3 Output 2 0 Note In the first example, we can change 1 into 2 and 10 into 4 with cost |1 - 2| + |10 - 4| = 1 + 6 = 7 and the resulting lengths [2, 4, 4] are almost good for t = 3. In the second example, the sticks lengths are already almost good for t = 2, so we don't have to do anything.
instruction
0
17,746
12
35,492
Tags: brute force, implementation Correct Solution: ``` n=int(input()) a=[int(i) for i in input().split()] t=1 mins=1000000 while t<100: su=0 for e in a: if e>t: su+=e-t-1 elif e<t: su+=t-1-e if su<mins: mins=su res=t t+=1 print(res,mins) ```
output
1
17,746
12
35,493
Provide tags and a correct Python 3 solution for this coding contest problem. You are given sequence a1, a2, ..., an and m queries lj, rj (1 ≤ lj ≤ rj ≤ n). For each query you need to print the minimum distance between such pair of elements ax and ay (x ≠ y), that: * both indexes of the elements lie within range [lj, rj], that is, lj ≤ x, y ≤ rj; * the values of the elements are equal, that is ax = ay. The text above understands distance as |x - y|. Input The first line of the input contains a pair of integers n, m (1 ≤ n, m ≤ 5·105) — the length of the sequence and the number of queries, correspondingly. The second line contains the sequence of integers a1, a2, ..., an ( - 109 ≤ ai ≤ 109). Next m lines contain the queries, one per line. Each query is given by a pair of numbers lj, rj (1 ≤ lj ≤ rj ≤ n) — the indexes of the query range limits. Output Print m integers — the answers to each query. If there is no valid match for some query, please print -1 as an answer to this query. Examples Input 5 3 1 1 2 3 2 1 5 2 4 3 5 Output 1 -1 2 Input 6 5 1 2 1 3 2 3 4 6 1 3 2 5 2 4 1 6 Output 2 2 3 -1 2
instruction
0
18,091
12
36,182
Tags: *special, data structures Correct Solution: ``` import sys class Fenwick(object): def __init__(self, n): self.n = n self.a = [10**9 for i in range(n)] self.w= 10**9 def zag(self, i, zn): self.w= min(self.w, zn) while i < self.n: self.a[i] = min(self.a[i], zn) i = (i | (i + 1)) def pol(self, r): ans= 10**9 while r >= 0: if ans> self.a[r]: ans= self.a[r] if ans== self.w: break r = (r & (r + 1)) - 1 return ans n, m = [int(x) for x in sys.stdin.readline().split()] a = [int(x) for x in sys.stdin.readline().split()] nd= [-1 for i in range(0, len(a))] vi= {} for i in range(0, len(a)): if a[i] in vi: nd[i] = vi[a[i]] vi[a[i]] = i inp= sys.stdin.readlines() och= [[] for i in range(n)] for i in range(m): l, r = inp[i].split() och[int(r) - 1].append((int(l) - 1, i)) der = Fenwick(2 ** 19) ans= [None for i in range(0, m)] le= -1 for r in range(n): if nd[r] != -1: der.zag(500000 - nd[r] + 1, r - nd[r]) le = max(le, nd[r]) for (l, ind) in och[r]: if l > le: ans[ind] = -1 continue zn= der.pol(500000 - l + 1) if zn== 10**9: zn= -1 ans[ind] = zn print('\n'.join(str(zn) for zn in ans)) ```
output
1
18,091
12
36,183
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a sequence a consisting of n integers. You may partition this sequence into two sequences b and c in such a way that every element belongs exactly to one of these sequences. Let B be the sum of elements belonging to b, and C be the sum of elements belonging to c (if some of these sequences is empty, then its sum is 0). What is the maximum possible value of B - C? Input The first line contains one integer n (1 ≤ n ≤ 100) — the number of elements in a. The second line contains n integers a1, a2, ..., an ( - 100 ≤ ai ≤ 100) — the elements of sequence a. Output Print the maximum possible value of B - C, where B is the sum of elements of sequence b, and C is the sum of elements of sequence c. Examples Input 3 1 -2 0 Output 3 Input 6 16 23 16 15 42 8 Output 120 Note In the first example we may choose b = {1, 0}, c = { - 2}. Then B = 1, C = - 2, B - C = 3. In the second example we choose b = {16, 23, 16, 15, 42, 8}, c = {} (an empty sequence). Then B = 120, C = 0, B - C = 120.
instruction
0
18,273
12
36,546
Tags: greedy Correct Solution: ``` n = int(input()) arr1 = input() arr2 = arr1.split() arr = [] for i in arr2: arr.append(int(i)) left = [] right = [] for i in arr: if i <= 0: right.append(i) else: left.append(i) k1 = sum(left) k2 = sum(right) diff = k1 - k2 print(diff) ```
output
1
18,273
12
36,547
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a sequence a consisting of n integers. You may partition this sequence into two sequences b and c in such a way that every element belongs exactly to one of these sequences. Let B be the sum of elements belonging to b, and C be the sum of elements belonging to c (if some of these sequences is empty, then its sum is 0). What is the maximum possible value of B - C? Input The first line contains one integer n (1 ≤ n ≤ 100) — the number of elements in a. The second line contains n integers a1, a2, ..., an ( - 100 ≤ ai ≤ 100) — the elements of sequence a. Output Print the maximum possible value of B - C, where B is the sum of elements of sequence b, and C is the sum of elements of sequence c. Examples Input 3 1 -2 0 Output 3 Input 6 16 23 16 15 42 8 Output 120 Note In the first example we may choose b = {1, 0}, c = { - 2}. Then B = 1, C = - 2, B - C = 3. In the second example we choose b = {16, 23, 16, 15, 42, 8}, c = {} (an empty sequence). Then B = 120, C = 0, B - C = 120.
instruction
0
18,274
12
36,548
Tags: greedy Correct Solution: ``` def test_1(): n = list(map(int, input().split(' ')))[0] data = list(map(int, input().split(' '))) data_1 = sorted(data) data_2 = [] data_3 = [] for i in range(n): if data_1[i]<0: data_2.append(data_1[i]) else: data_3.append(data_1[i]) out = sum(data_3) - sum(data_2) print(out) test_1() ```
output
1
18,274
12
36,549
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a sequence a consisting of n integers. You may partition this sequence into two sequences b and c in such a way that every element belongs exactly to one of these sequences. Let B be the sum of elements belonging to b, and C be the sum of elements belonging to c (if some of these sequences is empty, then its sum is 0). What is the maximum possible value of B - C? Input The first line contains one integer n (1 ≤ n ≤ 100) — the number of elements in a. The second line contains n integers a1, a2, ..., an ( - 100 ≤ ai ≤ 100) — the elements of sequence a. Output Print the maximum possible value of B - C, where B is the sum of elements of sequence b, and C is the sum of elements of sequence c. Examples Input 3 1 -2 0 Output 3 Input 6 16 23 16 15 42 8 Output 120 Note In the first example we may choose b = {1, 0}, c = { - 2}. Then B = 1, C = - 2, B - C = 3. In the second example we choose b = {16, 23, 16, 15, 42, 8}, c = {} (an empty sequence). Then B = 120, C = 0, B - C = 120.
instruction
0
18,275
12
36,550
Tags: greedy Correct Solution: ``` n=int(input()) li=list(map(int,input().split())) a=[] b=[] li.sort() for i in li: if i<=0: a.append(i) else: b.append(i) print(sum(b)-sum(a)) ```
output
1
18,275
12
36,551
Provide a correct Python 3 solution for this coding contest problem. For a dynamic array $A = \\{a_0, a_1, ...\\}$ of integers, perform a sequence of the following operations: * pushBack($x$): add element $x$ at the end of $A$ * randomAccess($p$):print element $a_p$ * popBack(): delete the last element of $A$ $A$ is a 0-origin array and it is empty in the initial state. Constraints * $1 \leq q \leq 200,000$ * $0 \leq p < $ the size of $A$ * $-1,000,000,000 \leq x \leq 1,000,000,000$ Input The input is given in the following format. $q$ $query_1$ $query_2$ : $query_q$ Each query $query_i$ is given by 0 $x$ or 1 $p$ or 2 where the first digits 0, 1 and 2 represent pushBack, randomAccess and popBack operations respectively. randomAccess and popBack operations will not be given for an empty array. Output For each randomAccess, print $a_p$ in a line. Example Input 8 0 1 0 2 0 3 2 0 4 1 0 1 1 1 2 Output 1 2 4
instruction
0
18,549
12
37,098
"Correct Solution: ``` a=[] q=int(input()) def pushback(a,x): a.append(x) return a def randomaccess(a,p): print(a[p]) def popback(a): a.pop(len(a)-1) return a for i in range(q): query=list(map(int,input().split())) if query[0]==0: a=pushback(a,query[1]) elif query[0]==1: randomaccess(a,query[1]) else: a=popback(a) ```
output
1
18,549
12
37,099
Provide a correct Python 3 solution for this coding contest problem. For a dynamic array $A = \\{a_0, a_1, ...\\}$ of integers, perform a sequence of the following operations: * pushBack($x$): add element $x$ at the end of $A$ * randomAccess($p$):print element $a_p$ * popBack(): delete the last element of $A$ $A$ is a 0-origin array and it is empty in the initial state. Constraints * $1 \leq q \leq 200,000$ * $0 \leq p < $ the size of $A$ * $-1,000,000,000 \leq x \leq 1,000,000,000$ Input The input is given in the following format. $q$ $query_1$ $query_2$ : $query_q$ Each query $query_i$ is given by 0 $x$ or 1 $p$ or 2 where the first digits 0, 1 and 2 represent pushBack, randomAccess and popBack operations respectively. randomAccess and popBack operations will not be given for an empty array. Output For each randomAccess, print $a_p$ in a line. Example Input 8 0 1 0 2 0 3 2 0 4 1 0 1 1 1 2 Output 1 2 4
instruction
0
18,550
12
37,100
"Correct Solution: ``` def pushBack(ary, elem): ary.append(elem) def randomAccess(ary, idx): print(ary[idx]) def popBack(ary): ary.pop() def main(): n = int(input()) ary = [] for i in range(n): query = input() if (query[0] == '0'): elem = int(query[2:]) pushBack(ary, elem) elif (query[0] == '1'): idx = int(query[2:]) randomAccess(ary, idx) elif (query[0] == '2'): popBack(ary) if __name__ == '__main__': main() ```
output
1
18,550
12
37,101
Provide a correct Python 3 solution for this coding contest problem. For a dynamic array $A = \\{a_0, a_1, ...\\}$ of integers, perform a sequence of the following operations: * pushBack($x$): add element $x$ at the end of $A$ * randomAccess($p$):print element $a_p$ * popBack(): delete the last element of $A$ $A$ is a 0-origin array and it is empty in the initial state. Constraints * $1 \leq q \leq 200,000$ * $0 \leq p < $ the size of $A$ * $-1,000,000,000 \leq x \leq 1,000,000,000$ Input The input is given in the following format. $q$ $query_1$ $query_2$ : $query_q$ Each query $query_i$ is given by 0 $x$ or 1 $p$ or 2 where the first digits 0, 1 and 2 represent pushBack, randomAccess and popBack operations respectively. randomAccess and popBack operations will not be given for an empty array. Output For each randomAccess, print $a_p$ in a line. Example Input 8 0 1 0 2 0 3 2 0 4 1 0 1 1 1 2 Output 1 2 4
instruction
0
18,551
12
37,102
"Correct Solution: ``` n = int(input()) ans = [] for i in range(n): lst = list(map(int,input().split())) if lst[0] == 0: ans.append(lst[1]) elif lst[0] == 1: print(ans[lst[1]]) else: del ans[-1] ```
output
1
18,551
12
37,103
Provide a correct Python 3 solution for this coding contest problem. For a dynamic array $A = \\{a_0, a_1, ...\\}$ of integers, perform a sequence of the following operations: * pushBack($x$): add element $x$ at the end of $A$ * randomAccess($p$):print element $a_p$ * popBack(): delete the last element of $A$ $A$ is a 0-origin array and it is empty in the initial state. Constraints * $1 \leq q \leq 200,000$ * $0 \leq p < $ the size of $A$ * $-1,000,000,000 \leq x \leq 1,000,000,000$ Input The input is given in the following format. $q$ $query_1$ $query_2$ : $query_q$ Each query $query_i$ is given by 0 $x$ or 1 $p$ or 2 where the first digits 0, 1 and 2 represent pushBack, randomAccess and popBack operations respectively. randomAccess and popBack operations will not be given for an empty array. Output For each randomAccess, print $a_p$ in a line. Example Input 8 0 1 0 2 0 3 2 0 4 1 0 1 1 1 2 Output 1 2 4
instruction
0
18,552
12
37,104
"Correct Solution: ``` A=[] def pushBack(x): A.append(x) def randomAccess(x): if len(A)==0: return print(A[x]) def popBack(): if len(A)==0: return A.pop() q=int(input()) for i in range(q): a=list(map(int,input().split())) if a[0]==0: pushBack(a[1]) elif a[0]==1: randomAccess(a[1]) elif a[0]==2: popBack() ```
output
1
18,552
12
37,105
Provide a correct Python 3 solution for this coding contest problem. For a dynamic array $A = \\{a_0, a_1, ...\\}$ of integers, perform a sequence of the following operations: * pushBack($x$): add element $x$ at the end of $A$ * randomAccess($p$):print element $a_p$ * popBack(): delete the last element of $A$ $A$ is a 0-origin array and it is empty in the initial state. Constraints * $1 \leq q \leq 200,000$ * $0 \leq p < $ the size of $A$ * $-1,000,000,000 \leq x \leq 1,000,000,000$ Input The input is given in the following format. $q$ $query_1$ $query_2$ : $query_q$ Each query $query_i$ is given by 0 $x$ or 1 $p$ or 2 where the first digits 0, 1 and 2 represent pushBack, randomAccess and popBack operations respectively. randomAccess and popBack operations will not be given for an empty array. Output For each randomAccess, print $a_p$ in a line. Example Input 8 0 1 0 2 0 3 2 0 4 1 0 1 1 1 2 Output 1 2 4
instruction
0
18,553
12
37,106
"Correct Solution: ``` q=int(input()) lis=[] lq=[] for i in range(q): lq.append([int(x) for x in input().split(' ')]) for i in lq: order=i[0] if order==0: lis.append(i[1]) elif order==1: print(lis[i[1]]) elif order==2: lis.pop(-1) ```
output
1
18,553
12
37,107
Provide a correct Python 3 solution for this coding contest problem. For a dynamic array $A = \\{a_0, a_1, ...\\}$ of integers, perform a sequence of the following operations: * pushBack($x$): add element $x$ at the end of $A$ * randomAccess($p$):print element $a_p$ * popBack(): delete the last element of $A$ $A$ is a 0-origin array and it is empty in the initial state. Constraints * $1 \leq q \leq 200,000$ * $0 \leq p < $ the size of $A$ * $-1,000,000,000 \leq x \leq 1,000,000,000$ Input The input is given in the following format. $q$ $query_1$ $query_2$ : $query_q$ Each query $query_i$ is given by 0 $x$ or 1 $p$ or 2 where the first digits 0, 1 and 2 represent pushBack, randomAccess and popBack operations respectively. randomAccess and popBack operations will not be given for an empty array. Output For each randomAccess, print $a_p$ in a line. Example Input 8 0 1 0 2 0 3 2 0 4 1 0 1 1 1 2 Output 1 2 4
instruction
0
18,554
12
37,108
"Correct Solution: ``` N= int(input()) P = [] for i in range(N): a, *b = (int(b) for b in input().split()) b= b[0] if b else None if a == 0: P.append(b) elif a == 1: print(P[b]) else: del P[-1] ```
output
1
18,554
12
37,109
Provide a correct Python 3 solution for this coding contest problem. For a dynamic array $A = \\{a_0, a_1, ...\\}$ of integers, perform a sequence of the following operations: * pushBack($x$): add element $x$ at the end of $A$ * randomAccess($p$):print element $a_p$ * popBack(): delete the last element of $A$ $A$ is a 0-origin array and it is empty in the initial state. Constraints * $1 \leq q \leq 200,000$ * $0 \leq p < $ the size of $A$ * $-1,000,000,000 \leq x \leq 1,000,000,000$ Input The input is given in the following format. $q$ $query_1$ $query_2$ : $query_q$ Each query $query_i$ is given by 0 $x$ or 1 $p$ or 2 where the first digits 0, 1 and 2 represent pushBack, randomAccess and popBack operations respectively. randomAccess and popBack operations will not be given for an empty array. Output For each randomAccess, print $a_p$ in a line. Example Input 8 0 1 0 2 0 3 2 0 4 1 0 1 1 1 2 Output 1 2 4
instruction
0
18,555
12
37,110
"Correct Solution: ``` stack = [] q = int(input()) for i in range(q): op = list(map(int, input().split(' '))) if op[0] == 0: stack.append(op[1]) elif op[0] == 1: print(stack[op[1]]) elif op[0] == 2: stack.pop() ```
output
1
18,555
12
37,111
Provide a correct Python 3 solution for this coding contest problem. For a dynamic array $A = \\{a_0, a_1, ...\\}$ of integers, perform a sequence of the following operations: * pushBack($x$): add element $x$ at the end of $A$ * randomAccess($p$):print element $a_p$ * popBack(): delete the last element of $A$ $A$ is a 0-origin array and it is empty in the initial state. Constraints * $1 \leq q \leq 200,000$ * $0 \leq p < $ the size of $A$ * $-1,000,000,000 \leq x \leq 1,000,000,000$ Input The input is given in the following format. $q$ $query_1$ $query_2$ : $query_q$ Each query $query_i$ is given by 0 $x$ or 1 $p$ or 2 where the first digits 0, 1 and 2 represent pushBack, randomAccess and popBack operations respectively. randomAccess and popBack operations will not be given for an empty array. Output For each randomAccess, print $a_p$ in a line. Example Input 8 0 1 0 2 0 3 2 0 4 1 0 1 1 1 2 Output 1 2 4
instruction
0
18,556
12
37,112
"Correct Solution: ``` q=int(input()) query=[] A=[] for i in range(q): query=list(map(int,input().split())) if query[0]==0: A.append(query[1]) elif query[0]==1: print(A[query[1]]) else: A.pop(-1) ```
output
1
18,556
12
37,113
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For a dynamic array $A = \\{a_0, a_1, ...\\}$ of integers, perform a sequence of the following operations: * pushBack($x$): add element $x$ at the end of $A$ * randomAccess($p$):print element $a_p$ * popBack(): delete the last element of $A$ $A$ is a 0-origin array and it is empty in the initial state. Constraints * $1 \leq q \leq 200,000$ * $0 \leq p < $ the size of $A$ * $-1,000,000,000 \leq x \leq 1,000,000,000$ Input The input is given in the following format. $q$ $query_1$ $query_2$ : $query_q$ Each query $query_i$ is given by 0 $x$ or 1 $p$ or 2 where the first digits 0, 1 and 2 represent pushBack, randomAccess and popBack operations respectively. randomAccess and popBack operations will not be given for an empty array. Output For each randomAccess, print $a_p$ in a line. Example Input 8 0 1 0 2 0 3 2 0 4 1 0 1 1 1 2 Output 1 2 4 Submitted Solution: ``` # AOJ ITP2_1_A: Vector # Python3 2018.6.24 bal4u from collections import deque Q = deque() q = int(input()) for i in range(q): a = input() if a[0] == '0': Q.append(a[2:]) # pushBack elif a[0] == '1': print(Q[int(a[2:])]) # randomAccess else: Q.pop() # popBack ```
instruction
0
18,560
12
37,120
Yes
output
1
18,560
12
37,121
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For a dynamic array $A = \\{a_0, a_1, ...\\}$ of integers, perform a sequence of the following operations: * pushBack($x$): add element $x$ at the end of $A$ * randomAccess($p$):print element $a_p$ * popBack(): delete the last element of $A$ $A$ is a 0-origin array and it is empty in the initial state. Constraints * $1 \leq q \leq 200,000$ * $0 \leq p < $ the size of $A$ * $-1,000,000,000 \leq x \leq 1,000,000,000$ Input The input is given in the following format. $q$ $query_1$ $query_2$ : $query_q$ Each query $query_i$ is given by 0 $x$ or 1 $p$ or 2 where the first digits 0, 1 and 2 represent pushBack, randomAccess and popBack operations respectively. randomAccess and popBack operations will not be given for an empty array. Output For each randomAccess, print $a_p$ in a line. Example Input 8 0 1 0 2 0 3 2 0 4 1 0 1 1 1 2 Output 1 2 4 Submitted Solution: ``` # AOJ ITP2_1_A: Vector # Python3 2018.6.24 bal4u from collections import deque Q = deque() q = int(input()) for i in range(q): a = input() print(a[2:]) if a[0] == '0': Q.append(a[2:]) # pushBack elif a[0] == '1': print(Q[int(a[2:])]) # randomAccess else: Q.pop() # popBack ```
instruction
0
18,562
12
37,124
No
output
1
18,562
12
37,125
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For a dynamic array $A = \\{a_0, a_1, ...\\}$ of integers, perform a sequence of the following operations: * pushBack($x$): add element $x$ at the end of $A$ * randomAccess($p$):print element $a_p$ * popBack(): delete the last element of $A$ $A$ is a 0-origin array and it is empty in the initial state. Constraints * $1 \leq q \leq 200,000$ * $0 \leq p < $ the size of $A$ * $-1,000,000,000 \leq x \leq 1,000,000,000$ Input The input is given in the following format. $q$ $query_1$ $query_2$ : $query_q$ Each query $query_i$ is given by 0 $x$ or 1 $p$ or 2 where the first digits 0, 1 and 2 represent pushBack, randomAccess and popBack operations respectively. randomAccess and popBack operations will not be given for an empty array. Output For each randomAccess, print $a_p$ in a line. Example Input 8 0 1 0 2 0 3 2 0 4 1 0 1 1 1 2 Output 1 2 4 Submitted Solution: ``` def pushBack(lists, x): return lists.insert(-1, x) def randomAccess(lists, p): print(lists[p]) def popBack(lists): return lists.pop(-1) if __name__ == '__main__': l = list() n = int(input()) for i in range(n): j= input().split() if int(j[0]) == 0: pushBack(l, x) elif int(j[0]) == 1: randomAccess(l, x) else: popBack(l) ```
instruction
0
18,564
12
37,128
No
output
1
18,564
12
37,129
Provide tags and a correct Python 3 solution for this coding contest problem. You are given n arrays that can have different sizes. You also have a table with w columns and n rows. The i-th array is placed horizontally in the i-th row. You can slide each array within its row as long as it occupies several consecutive cells and lies completely inside the table. You need to find the maximum sum of the integers in the j-th column for each j from 1 to w independently. <image> Optimal placements for columns 1, 2 and 3 are shown on the pictures from left to right. Note that you can exclude any array out of a column provided it remains in the window. In this case its value is considered to be zero. Input The first line contains two integers n (1 ≤ n ≤ 10^{6}) and w (1 ≤ w ≤ 10^{6}) — the number of arrays and the width of the table. Each of the next n lines consists of an integer l_{i} (1 ≤ l_{i} ≤ w), the length of the i-th array, followed by l_{i} integers a_{i1}, a_{i2}, …, a_{il_i} (-10^{9} ≤ a_{ij} ≤ 10^{9}) — the elements of the array. The total length of the arrays does no exceed 10^{6}. Output Print w integers, the i-th of them should be the maximum sum for column i. Examples Input 3 3 3 2 4 8 2 2 5 2 6 3 Output 10 15 16 Input 2 2 2 7 8 1 -8 Output 7 8 Note Illustration for the first example is in the statement.
instruction
0
18,627
12
37,254
Tags: data structures, implementation Correct Solution: ``` import sys input = sys.stdin.readline from collections import deque n,w=[int(i) for i in input().rstrip('\n').split()] arr=[] tem=[] for i in range(n): t=[int(i) for i in input().rstrip('\n').split()] tem.append(t[0]) arr.append(t[1:]) l=[0 for i in range(w)] wi=[0 for i in range(w+1)] for j in range(n): st=deque() c=w-tem[j] for i in range(tem[j]): while st and st[0]<i-c:st.popleft() while st and arr[j][st[-1]]<arr[j][i]:st.pop() st.append(i) if arr[j][st[0]]>0 or (i>=c and i<w-c): l[i]+=arr[j][st[0]] ind=tem[j] while st and arr[j][st[0]]>0: wi[ind]+=arr[j][st[0]] wi[w-(tem[j]-st[0])+1]+=-arr[j][st[0]] ind=w-(tem[j]-st[0])+1 st.popleft() curr=0 for i in range(w): curr+=wi[i] l[i]+=curr print(" ".join(str(e) for e in l)) ```
output
1
18,627
12
37,255
Provide tags and a correct Python 3 solution for this coding contest problem. You are given n arrays that can have different sizes. You also have a table with w columns and n rows. The i-th array is placed horizontally in the i-th row. You can slide each array within its row as long as it occupies several consecutive cells and lies completely inside the table. You need to find the maximum sum of the integers in the j-th column for each j from 1 to w independently. <image> Optimal placements for columns 1, 2 and 3 are shown on the pictures from left to right. Note that you can exclude any array out of a column provided it remains in the window. In this case its value is considered to be zero. Input The first line contains two integers n (1 ≤ n ≤ 10^{6}) and w (1 ≤ w ≤ 10^{6}) — the number of arrays and the width of the table. Each of the next n lines consists of an integer l_{i} (1 ≤ l_{i} ≤ w), the length of the i-th array, followed by l_{i} integers a_{i1}, a_{i2}, …, a_{il_i} (-10^{9} ≤ a_{ij} ≤ 10^{9}) — the elements of the array. The total length of the arrays does no exceed 10^{6}. Output Print w integers, the i-th of them should be the maximum sum for column i. Examples Input 3 3 3 2 4 8 2 2 5 2 6 3 Output 10 15 16 Input 2 2 2 7 8 1 -8 Output 7 8 Note Illustration for the first example is in the statement.
instruction
0
18,628
12
37,256
Tags: data structures, implementation Correct Solution: ``` import sys input = sys.stdin.readline from collections import deque def slidemax(X, k): q = deque([]) ret = [] for i in range(len(X)): while q and q[-1][1] <= X[i]: q.pop() deque.append(q, (i+k, X[i])) if q[0][0] == i: deque.popleft(q) if i >= k-1: ret.append(q[0][1]) return ret N, W = map(int, input().split()) A = [0] * W s = 0 for _ in range(N): l, *B = map(int, input().split()) if l*2 < W: C = slidemax([0]*(l-1)+B+[0]*(l-1), l) m = max(B + [0]) s += m for i in range(l-1): A[i] += C[i] - m A[-i-1] += C[-i-1] - m else: C = slidemax([0]*(W-l)+B+[0]*(W-l), W - l + 1) A = [a+c for a, c in zip(A, C)] print(*[a+s for a in A]) ```
output
1
18,628
12
37,257
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given n arrays that can have different sizes. You also have a table with w columns and n rows. The i-th array is placed horizontally in the i-th row. You can slide each array within its row as long as it occupies several consecutive cells and lies completely inside the table. You need to find the maximum sum of the integers in the j-th column for each j from 1 to w independently. <image> Optimal placements for columns 1, 2 and 3 are shown on the pictures from left to right. Note that you can exclude any array out of a column provided it remains in the window. In this case its value is considered to be zero. Input The first line contains two integers n (1 ≤ n ≤ 10^{6}) and w (1 ≤ w ≤ 10^{6}) — the number of arrays and the width of the table. Each of the next n lines consists of an integer l_{i} (1 ≤ l_{i} ≤ w), the length of the i-th array, followed by l_{i} integers a_{i1}, a_{i2}, …, a_{il_i} (-10^{9} ≤ a_{ij} ≤ 10^{9}) — the elements of the array. The total length of the arrays does no exceed 10^{6}. Output Print w integers, the i-th of them should be the maximum sum for column i. Examples Input 3 3 3 2 4 8 2 2 5 2 6 3 Output 10 15 16 Input 2 2 2 7 8 1 -8 Output 7 8 Note Illustration for the first example is in the statement. Submitted Solution: ``` # import math # import sys from collections import deque n,w = [int(x) for x in input().strip().split(" ")] ans = [0]*w for _ in range(n): a = [int(x) for x in input().strip().split(" ")] i = 0 k = min(w-a[0]+1,a[0]) val = [0]*w maxm = -10000000000 Qi = deque([]) while i<k and i<a[0]: while (len(Qi)>0 and a[i+1] >= a[Qi[-1]+1]): Qi.pop() Qi.append(i) maxm = max(maxm,a[Qi[0]+1]) val[i] = maxm i+=1 while i<a[0]: while (len(Qi)>0 and Qi[0] <= i-k): Qi.popleft() while (len(Qi)>0 and a[i+1] >= a[Qi[-1]+1]) : Qi.pop() Qi.append(i) maxm = max(maxm,a[Qi[0]+1]) val[i] = maxm i+=1 while i<w: val[i] = maxm i+=1 maxm = -10000000000 i=w while i>(w-k): maxm = max(maxm,a[a[0]-w+i]) val[i-1] = maxm i-=1 for j in range(w-a[0]): val[j] = max(0,val[j]) for j in range(a[0],w): val[j] = max(0,val[j]) for j in range(w): ans[j] += val[j] for i in range(w): print(ans[i],end=" ") ```
instruction
0
18,629
12
37,258
No
output
1
18,629
12
37,259
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given n arrays that can have different sizes. You also have a table with w columns and n rows. The i-th array is placed horizontally in the i-th row. You can slide each array within its row as long as it occupies several consecutive cells and lies completely inside the table. You need to find the maximum sum of the integers in the j-th column for each j from 1 to w independently. <image> Optimal placements for columns 1, 2 and 3 are shown on the pictures from left to right. Note that you can exclude any array out of a column provided it remains in the window. In this case its value is considered to be zero. Input The first line contains two integers n (1 ≤ n ≤ 10^{6}) and w (1 ≤ w ≤ 10^{6}) — the number of arrays and the width of the table. Each of the next n lines consists of an integer l_{i} (1 ≤ l_{i} ≤ w), the length of the i-th array, followed by l_{i} integers a_{i1}, a_{i2}, …, a_{il_i} (-10^{9} ≤ a_{ij} ≤ 10^{9}) — the elements of the array. The total length of the arrays does no exceed 10^{6}. Output Print w integers, the i-th of them should be the maximum sum for column i. Examples Input 3 3 3 2 4 8 2 2 5 2 6 3 Output 10 15 16 Input 2 2 2 7 8 1 -8 Output 7 8 Note Illustration for the first example is in the statement. Submitted Solution: ``` from collections import deque class MaxQueue: def __init__(self): self.p = list() self.q = list() pass def __len__(self): return len(self.p) + len(self.q) def __add__(self, other): return self.enqueue(other) def enqueue(self, other): min_val = other if len(self.p) == 0 else max(other, self.p[-1][1]) self.p.append((other, min_val)) def dequeue(self): if len(self.q) == 0: while len(self.p) > 0: item = self.p.pop()[0] min_val = item if len(self.q) == 0 else max(item, self.q[-1][1]) self.q.append((item, min_val)) if len(self.q) > 0: return self.q.pop()[0] def max(self): if len(self) == 0: return None if len(self.p) == 0: return self.q[-1][1] elif len(self.q) == 0: return self.p[-1][1] else: return max(self.p[-1][1], self.q[-1][1]) class MaxWindowedQueue(MaxQueue): def __init__(self, wnd_size): super().__init__() self.wnd_size = wnd_size def enqueue(self, other): super().enqueue(other) if len(self) > self.wnd_size: return super().dequeue() def max_of_window(A, wnd): mwq = MaxWindowedQueue(wnd) ret = list() mwq.enqueue(0) for elm in A: mwq.enqueue(elm) ret.append(mwq.max()) last_max = mwq.max() for _ in range(wnd - 1): mwq.enqueue(0) if len(mwq) > 1: last_max = mwq.max() ret.append(last_max) return ret def main(): n, w = map(int, input().split()) A = [0] * n for _ in range(n): arr = deque(map(int, input().split())) wnd = w - arr.popleft() + 1 if wnd > 1: # lr max_suffix = max_of_window(arr, wnd) for i in range(n): A[i] += max_suffix[i] else: for i in range(n): A[i] += arr[i] print(*A) import sys input = sys.stdin.readline if __name__ == "__main__": main() ```
instruction
0
18,630
12
37,260
No
output
1
18,630
12
37,261
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given n arrays that can have different sizes. You also have a table with w columns and n rows. The i-th array is placed horizontally in the i-th row. You can slide each array within its row as long as it occupies several consecutive cells and lies completely inside the table. You need to find the maximum sum of the integers in the j-th column for each j from 1 to w independently. <image> Optimal placements for columns 1, 2 and 3 are shown on the pictures from left to right. Note that you can exclude any array out of a column provided it remains in the window. In this case its value is considered to be zero. Input The first line contains two integers n (1 ≤ n ≤ 10^{6}) and w (1 ≤ w ≤ 10^{6}) — the number of arrays and the width of the table. Each of the next n lines consists of an integer l_{i} (1 ≤ l_{i} ≤ w), the length of the i-th array, followed by l_{i} integers a_{i1}, a_{i2}, …, a_{il_i} (-10^{9} ≤ a_{ij} ≤ 10^{9}) — the elements of the array. The total length of the arrays does no exceed 10^{6}. Output Print w integers, the i-th of them should be the maximum sum for column i. Examples Input 3 3 3 2 4 8 2 2 5 2 6 3 Output 10 15 16 Input 2 2 2 7 8 1 -8 Output 7 8 Note Illustration for the first example is in the statement. Submitted Solution: ``` n, w = [int(x) for x in input().split()] a = [] for _ in range(n): r = [int(x) for x in input().split()] r.pop(0) a.append(r) res = [] for j in range(w): s = 0 for r in a: e = w - j d = max(r[-e:j+1]) if d>=0: s += d else: l = len(r) if l > j and l > e: s += d res.append(s) print(" ".join([str(x) for x in res])) ```
instruction
0
18,631
12
37,262
No
output
1
18,631
12
37,263
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given n arrays that can have different sizes. You also have a table with w columns and n rows. The i-th array is placed horizontally in the i-th row. You can slide each array within its row as long as it occupies several consecutive cells and lies completely inside the table. You need to find the maximum sum of the integers in the j-th column for each j from 1 to w independently. <image> Optimal placements for columns 1, 2 and 3 are shown on the pictures from left to right. Note that you can exclude any array out of a column provided it remains in the window. In this case its value is considered to be zero. Input The first line contains two integers n (1 ≤ n ≤ 10^{6}) and w (1 ≤ w ≤ 10^{6}) — the number of arrays and the width of the table. Each of the next n lines consists of an integer l_{i} (1 ≤ l_{i} ≤ w), the length of the i-th array, followed by l_{i} integers a_{i1}, a_{i2}, …, a_{il_i} (-10^{9} ≤ a_{ij} ≤ 10^{9}) — the elements of the array. The total length of the arrays does no exceed 10^{6}. Output Print w integers, the i-th of them should be the maximum sum for column i. Examples Input 3 3 3 2 4 8 2 2 5 2 6 3 Output 10 15 16 Input 2 2 2 7 8 1 -8 Output 7 8 Note Illustration for the first example is in the statement. Submitted Solution: ``` from collections import deque n,w=[int(i) for i in input().split()] arr=[] nw=w for i in range(n): arr.append([int(i) for i in input().split()][1:]) l=[0 for i in range(w)] # print(nw) wi=[0 for i in range(w+1)] for j in range(n): st=deque() c=nw-len(arr[j]) # print(c) for i in range(len(arr[j])): # print(i,len(arr[j])) while len(st) and st[0]<i-c:st.popleft() while i < len(arr[j]) and len(st) and arr[j][st[-1]]<arr[j][i]:st.pop() if i<len(arr[j]):st.append(i) if arr[j][st[0]]>0 or (i>=c and i<w-c): l[i]+=arr[j][st[0]] # print(l,st) ind=len(arr[j]) tr=1 while st and st[0]>0: # print(ind,end=" ") wi[ind]+=arr[j][st[0]] wi[w-(len(arr[j])-st[0])+1]+=-arr[j][st[0]] ind=w-(len(arr[j])-st[0])+1 # print(ind) st.popleft() # print(wi) curr=0 for i in range(w): curr+=wi[i] l[i]+=curr print(" ".join(str(e) for e in l)) # givesum(l) ```
instruction
0
18,632
12
37,264
No
output
1
18,632
12
37,265